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Simplifying 2(z + 7) + -1(7 + -2z) = 3z Reorder the terms: 2(7 + z) + -1(7 + -2z) = 3z (7 * 2 + z * 2) + -1(7 + -2z) = 3z (14 + 2z) + -1(7 + -2z) = 3z 14 + 2z + (7 * -1 + -2z * -1) = 3z 14 + 2z + (-7 + 2z) = 3z Reorder the terms: 14 + -7 + 2z + 2z = 3z Combine like terms: 14 + -7 = 7 7 + 2z + 2z = 3z Combine like terms: 2z + 2z = 4z 7 + 4z = 3z Solving 7 + 4z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 7 + 4z + -3z = 3z + -3z Combine like terms: 4z + -3z = 1z 7 + 1z = 3z + -3z Combine like terms: 3z + -3z = 0 7 + 1z = 0 Add '-7' to each side of the equation. 7 + -7 + 1z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 0 + -7 1z = 0 + -7 Combine like terms: 0 + -7 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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